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3323031431104 = 267113372000939
BaseRepresentation
bin110000010110110100000…
…110111010011111000000
3102202200022202220020011001
4300112310012322133000
5413421032021243404
611022325104101344
7462036550055050
oct60266406723700
912680282806131
103323031431104
111071320680060
12458038604854
131b148c0a4148
14b6b9ab89560
155b68dd707a4
hex305b41ba7c0

3323031431104 has 112 divisors (see below), whose sum is σ = 8245665642240. Its totient is φ = 1290845122560.

The previous prime is 3323031431047. The next prime is 3323031431107. The reversal of 3323031431104 is 4011341303233.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33230314311042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323031431107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660267 + ... + 2661205.

Almost surely, 23323031431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323031431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122832821120).

3323031431104 is an abundant number, since it is smaller than the sum of its proper divisors (4922634211136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3323031431104 is a wasteful number, since it uses less digits than its factorization.

3323031431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001306 (or 2001296 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 3323031431104 its reverse (4011341303233), we get a palindrome (7334372734337).

The spelling of 3323031431104 in words is "three trillion, three hundred twenty-three billion, thirty-one million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 337 352 448 616 674 704 1232 1348 2359 2464 2696 3707 4718 4928 5392 7414 9436 10784 14828 18872 21568 25949 29656 37744 51898 59312 75488 103796 118624 150976 207592 237248 415184 830368 1660736 2000939 4001878 8003756 14006573 16007512 22010329 28013146 32015024 44020658 56026292 64030048 88041316 112052584 128060096 154072303 176082632 224105168 308144606 352165264 448210336 616289212 674316443 704330528 896420672 1232578424 1348632886 1408661056 2465156848 2697265772 4720215101 4930313696 5394531544 7417480873 9440430202 9860627392 10789063088 14834961746 18880860404 21578126176 29669923492 37761720808 43156252352 51922366111 59339846984 75523441616 103844732222 118679693968 151046883232 207689464444 237359387936 302093766464 415378928888 474718775872 830757857776 1661515715552 3323031431104